Article, Ajoutée
le 22/02/2018 13:21
Degenerate submanifolds of pseudo-Riemannian manifolds are
quite difficult to study because there is no preferred connection when the sub-
manifold is not totally geodesic. For the particular case of degenerate totally
umbilical hypersurfaces, we [...]
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY LIONEL [2],
Article, Ajoutée
le 22/02/2018 13:30
This paper introduces Gray-tensors on lightlike hypersurfaces M n+1
of signature (0, n), (n ≥ 1) and investigates on their basic properties in connec-
tion with their null geometry. In particular, we show that there is an interplay
between existen [...]
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY LIONEL [2],
TOSSA JOEL [3],
Article, Ajoutée
le 22/02/2018 14:03
We study Weyl structures on lightlike hypersurfaces endowed with a conformal structure of certain type and
specific screen distribution: the Weyl screen structures. We investigate various differential geometric properties
of Einstein–Weyl screen st [...]
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY LIONEL [0],
OGOUYANDJOU KOLADÉ SIMPLICE EPHREM CARLOS [3],
Article, Ajoutée
le 22/02/2018 14:07
We show that on a non-minimal lightlike hypersurface with nullity
degree 1 , there exists a unique null transversal (normalizing) vector eld with
prescribed calibrated divergence, for which the induced connection and the Levi-Civita connection of [...]
ATINDOGBE COMLAN CYRIAQUE [0],
BERARD BERGERY LIONEL [2],